Certain sextics with many rational points

DOI10.3934/amc.2017020zbMath1391.11080OpenAlexW2611981315MaRDI QIDQ2397489

Motoko Qiu Kawakita

Publication date: 22 May 2017

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2017020

zbMATH Keywords

rational pointsSerre boundalgebro-geometric codes

Mathematics Subject Classification ID

Rational points (14G05) Curves over finite and local fields (11G20)

Related Items (4)

Reciprocal polynomials and curves with many points over a finite field ⋮ New sextics of genus 6 and 10 attaining the Serre bound ⋮ Wiman's and Edge's sextics attaining Serre's bound ⋮ New examples of maximal curves with low genus

Uses Software

• Magma

Cites Work

• On maximal curves that are not quotients of the Hermitian curve
• Idempotent relations and factors of Jacobians
• The Magma algebra system. I: The user language
• Wiman’s and Edge’s sextic attaining Serre’s bound II
• A generalization of the Giulietti–Korchmáros maximal curve
• A pencil of four-nodal plane sextics
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